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成层地基非线性波动问题人工边界与波动输入研究
引用本文:王振宇,刘晶波.成层地基非线性波动问题人工边界与波动输入研究[J].岩石力学与工程学报,2004,23(7):1169-1173.
作者姓名:王振宇  刘晶波
作者单位:清华大学土木工程系,北京,100084
基金项目:国家自然科学基金(50078028,北京市自然科学基金重点项目(8011002),清华大学博士生科研创新基金联合资助项目。
摘    要:建立了考虑非线性效应的无限成层地基波动模拟的时域人工边界条件及相应的波动输入方法。首先,推导了线性阻尼介质中的一维人工边界公式,进而推广得到近似的二维人工边界方程:然后,通过等效线性化处理,获得了近似考虑远场成层地基非线性效应的人工边界:最后,建立了相应的波动输入方法。数值算例表明,所给出的人工边界与波动输入方法具有良好的精度,可以方便地应用于成层地基非线性波动问题的研究。

关 键 词:土力学  成层地基非线性  人工边界  等效线性化  波动输入
文章编号:1000-6915(2004)07-1169-05
收稿时间:2002-6-5
修稿时间:2002-8-10

STUDY ON WAVE MOTION INPUT AND ARTIFICIAL BOUNDARY FOR PROBLEM OF NONLINEAR WAVE MOTION IN LAYERED SOIL
Wang Zhenyu,Liu Jingbo.STUDY ON WAVE MOTION INPUT AND ARTIFICIAL BOUNDARY FOR PROBLEM OF NONLINEAR WAVE MOTION IN LAYERED SOIL[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(7):1169-1173.
Authors:Wang Zhenyu  Liu Jingbo
Abstract:Wave motion input method and artificial boundary conditions in simulation of nonlinear wave motion in infinite layered soils are proposed. One dimensional artificial boundary equations of a linear damping material are derived first. Approximate two dimensional artificial boundary equations are then generalized. The artificial boundary conditions for simulating nonlinear effects of the far-field layered soils are developed by means of equivalent linearization method. Finally,the method of wave motion input is established. Numerical examples prove good accuracy of the artificial boundary conditions and wave motion input method,which can be easily used in study of problems of nonlinear wave motion in layered soils.
Keywords:soil mechanics  nonlinearity of layered soils  artificial boundary  equivalent linearization  wave motion input
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